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140778438570081 = 3213247264732
BaseRepresentation
bin100000000000100110001000…
…110100101011000001100001
3200110110021202102202011011100
4200000212020310223001201
5121423003220233220311
61215224415531105013
741436622641665304
oct4000461064530141
9613407672664140
10140778438570081
1140946889539574
121395797a2a2169
136072471662400
1426a99d9c36b3b
151141e84931a56
hex800988d2b061

140778438570081 has 81 divisors (see below), whose sum is σ = 225011292106809. Its totient is φ = 84776533425792.

The previous prime is 140778438570041. The next prime is 140778438570097. The reversal of 140778438570081 is 180075834877041.

The square root of 140778438570081 is 11865009.

It is a perfect power (a square), and thus also a powerful number.

140778438570081 is a `hidden beast` number, since 1 + 4 + 0 + 7 + 78 + 438 + 57 + 0 + 0 + 81 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 63018845510481 + 77759593059600 = 7938441^2 + 8818140^2 .

It is a de Polignac number, because none of the positive numbers 2k-140778438570081 is a prime.

It is a super-2 number, since 2×1407784385700812 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (140778438570041) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 21748558261 + ... + 21748564733.

Almost surely, 2140778438570081 is an apocalyptic number.

140778438570081 is the 11865009-th square number.

140778438570081 is the 5932505-th centered octagonal number.

It is an amenable number.

140778438570081 is a deficient number, since it is larger than the sum of its proper divisors (84232853536728).

140778438570081 is an frugal number, since it uses more digits than its factorization.

140778438570081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13072 (or 6536 counting only the distinct ones).

The product of its (nonzero) digits is 42147840, while the sum is 63.

The spelling of 140778438570081 in words is "one hundred forty trillion, seven hundred seventy-eight billion, four hundred thirty-eight million, five hundred seventy thousand, eighty-one".

Divisors: 1 3 9 13 39 47 117 141 169 423 507 611 1521 1833 2209 5499 6473 6627 7943 19419 19881 23829 28717 58257 71487 84149 86151 252447 258453 304231 373321 757341 912693 1093937 1119963 2738079 3281811 3359889 3955003 9845433 11865009 14298857 35595027 41899729 42896571 51415039 125699187 128689713 154245117 185885141 377097561 462735351 544696477 557655423 1634089431 1672966269 1969287263 2416506833 4902268293 5907861789 7081054201 7249520499 17723585367 21243162603 21748561497 25600734419 63729487809 76802203257 92556501361 230406609771 277669504083 332809547447 833008512249 998428642341 1203234517693 2995285927023 3609703553079 10829110659237 15642048730009 46926146190027 140778438570081